Abstract
The first part of this contribution deals with discretizing differential equations. Difference equations can also be obtained by discretizing differential equations. A first order differential is approximated by a first order difference, a second order differential by a second order difference, etc. The other way of discretization is discretization by Z transformation of transfer function G(s). This contribution is concerned with the Euler’s method and bilinear method. The contribution solves the link between s and z.
The last part of this contribution contains solutions of unit step response and impulse response of continuous-time systems by discrete methods that were introduced here.
The contribution shows the new possibility of how to solve continuous-time control systems by discrete methods.
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References
W. S. Levine, “The Control Handbook”, CRC Press, Inc., Boca Raton, Florida, 1996
I. Švarc, “Automatizace — Automaticke rizeni”, CERM, Brno, 2005
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© 2007 Springer-Verlag Berlin Heidelberg
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Svarc, I. (2007). The discrete methods for solutions of continuous-time systems. In: Jabłoński, R., Turkowski, M., Szewczyk, R. (eds) Recent Advances in Mechatronics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73956-2_36
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DOI: https://doi.org/10.1007/978-3-540-73956-2_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73955-5
Online ISBN: 978-3-540-73956-2
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